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Temperature Distribution in Living Tissue with Two-Dimensional Parabolic Bioheat Model Using Radial Basis Function
This study concerns the numerical modeling and simulation of heat distribution inside the skin tissue for cancer treatment with external exponential... -
Numerical Modeling of the Spatiotemporal Distribution of a Drug Agent in a Biological Tissue
AbstractA mathematical model of the pharmacokinetics of anticancer drugs, which presents a biological tissue as a randomly inhomogeneous medium, is...
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Pattern Formation Inside Living Cells
While most of our tissues appear static, in fact, cell motion comprises an important facet of all life forms, whether in single or multicellular... -
Stochastic differential equation modelling of cancer cell migration and tissue invasion
Invasion of the surrounding tissue is a key aspect of cancer growth and spread involving a coordinated effort between cell migration and matrix...
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Steady and unsteady analytical solutions of three-dimensional heat transfer in a multi-layer and porous skin tissue
Although many models have been derived for heat transfer in the skin, analytical solutions for heat transfer provide more reliable results than...
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Analytical and numerical temperature distribution in a 3-D triple-layer skin tissue subjected to a multi-point laser beam
In the present study, the temporal and spatial variation of temperature in a three-dimensional triple-layer skin tissue under the laser heating is...
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A Topological and Dynamical Approach to the Study of Complex Living Systems
Traditionally one has addressed biological phenomena by analytical and/or statistical tools with the goal to give average laws of the competition... -
Adaptive Filtering of Distributed Data Based on Modeling the Perception Mechanisms of Living Sensory Systems
The article is devoted to the results of the adaptive filtering synthesis in the frames of neuromorphic model inspired by biological sensory system.... -
Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue
In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure...
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Modelling Oscillating Living Systems: Cell Energy Metabolism as Weighted Networks of Nonautonomous Oscillators
Oscillations are a common feature throughout life, forming a key mechanism by which living systems can regulate their internal processes and exchange... -
On a Two-Dimensional Boundary-Value Stefan-Type Problem Arising in Cryosurgery
In this paper, we present the formulation and a method for solving the problem of freezing living biological tissue with a flat circular...
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Models of Cell Motion and Tissue Growth
The mathematical description of cell movement, from the individual scale to the collective motion, is a rich and complex domain of biomathematics... -
Visualization of 14C-labeled Gas Fixation in a Plant—Development of Real-Time Radioisotope Imaging
The development of a real-time radioisotope imaging system was summarized. The first stage was just imaging the 32P-labeled phosphate taken up by the... -
Multiphase Models for Moving Boundary Problems in Biology
We address the modelling of tissue deformation using mixture theory. The governing equations consist of mass and momentum balances for two phases,... -
Mathematical Modeling and Simulation of Laser-Induced Thermotherapy for the Treatment of Liver Tumors
Laser-induced thermotherapy (LITT) plays an important role in oncology to treat human liver tumors. LITT is an alternative method which is used when... -
Thermogram-based estimation of foot arterial blood flow using neural networks
The altered blood flow in the foot is an important indicator of early diabetic foot complications. However, it is challenging to measure the blood...
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Happiness Is a Warm Theorem
Doctor: It’s okay, Craig. You can talk freely here. If you want to cry, you can cry. Craig: I’m sorry, Doctor. It’s just so overwhelming, sometimes.... -
Percolation Theory, Ecology, Hydrology, and Geochemistry
Three important scientific fields are ecology, hydrology, and geochemistry. In ecology one studies the relationships between living organisms,... -
Recapitulating Functional Heterogeneity in Electrophysiologically Active Tissues
Inter-cellular heterogeneity is central to the dynamic range and robustness of function in many tissues, particularly electrically excitable tissues.... -
Wiener–Hopf technique for a fractional mixed boundary value problem in cylindrical layer
In this paper, we study the heat transfer modeling during freezing of a biological tissue and present an analytical approach for solving the heat...